螺旋槽干气密封微尺度流动场的近似计算及其参数优化

Approximate Calculation and Parameters Optimization for Micro-scale Flow Field in Spiral Grooved Gas Seals

应用PH线性化方法、迭代法,近似求解了螺旋槽内稳态微尺度流动场的非线性雷诺方程,求得了气体动压和速度分布的解析解。继而利用多目标优化方法构建了气膜刚度与泄漏量之比的协调函数,并对该目标函数进行了近似求解,获得了最佳的螺旋槽几何参数值。

PH linearization method is employed to solve a nonlinear Reynolds equation for a steady-state and micro-scale flow field,and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained.A trade-off function of rigidity-to-spillage ratio is derived and the optimized geometric parameters are acquired by solving the objective function.